Adding InfoWindow on Google directions route

To find a position on a route and put an infoWindow there, parse the route (the details are described in the documentation). Get a location along the route and call the setPosition method of your infowindow with that position.

function calcRoute(start, end) {
  var request = {
      origin:start,
      destination:end,
      travelMode: google.maps.DirectionsTravelMode.DRIVING
  };
  directionsService.route(request, function(response, status) {
    if (status == google.maps.DirectionsStatus.OK) {
      directionsDisplay.setDirections(response);
      var step = 1;
      var infowindow2 = new google.maps.InfoWindow();
      infowindow2.setContent(response.routes[0].legs[0].steps[step].distance.text + "<br>" + response.routes[0].legs[0].steps[step].duration.text + " ");
      infowindow2.setPosition(response.routes[0].legs[0].steps[step].end_location);
      infowindow2.open(map);
    }
  });
}

If you really need the midpoint of the route, see Midpoint of route in google maps

proof of concept fiddle

enter image description here

code snippet:

var directionsDisplay;
var directionsService = new google.maps.DirectionsService();
var map;

function initialize() {
  directionsDisplay = new google.maps.DirectionsRenderer();
  var chicago = new google.maps.LatLng(41.850033, -87.6500523);

  var mapOptions = {
    zoom: 7,
    mapTypeId: google.maps.MapTypeId.ROADMAP,
    center: chicago
  }
  map = new google.maps.Map(document.getElementById('map-canvas'), mapOptions);
  directionsDisplay.setMap(map);
  calcRoute("67 The Windmill Hill, Allesley, Coventry CV5 9FR, UK", "26 Rosaville Crescent, Allesley, Coventry CV5 9BP, UK");
}

function calcRoute(start, end) {
  var request = {
    origin: start,
    destination: end,
    travelMode: google.maps.DirectionsTravelMode.DRIVING
  };
  directionsService.route(request, function(response, status) {
    if (status == google.maps.DirectionsStatus.OK) {
      directionsDisplay.setDirections(response);
      var step = Math.floor(response.routes[0].legs[0].steps.length / 2);
      var infowindow2 = new google.maps.InfoWindow();
      infowindow2.setContent(response.routes[0].legs[0].steps[step].distance.text + "<br>" + response.routes[0].legs[0].steps[step].duration.text + " ");
      infowindow2.setPosition(response.routes[0].legs[0].steps[step].end_location);
      infowindow2.open(map);
    }
  });
}

google.maps.event.addDomListener(window, 'load', initialize);
html,
body,
#map-canvas {
  height: 100%;
  margin: 0px;
  padding: 0px
}

#panel {
  position: absolute;
  top: 5px;
  left: 50%;
  margin-left: -180px;
  z-index: 5;
  background-color: #fff;
  padding: 5px;
  border: 1px solid #999;
}
<script src="https://maps.googleapis.com/maps/api/js?key=AIzaSyCkUOdZ5y7hMm0yrcCQoCvLwzdM6M8s5qk"></script>
<div id="map-canvas"></div>


You can use overview_path array to find the center point of the path. And then set it as infowindow position.

var center_point = response.routes[0].overview_path.length/2;

var infowindow = new google.maps.InfoWindow();
infowindow.setContent(response.routes[0].legs[0].distance.text + "<br>" + response.routes[0].legs[0].duration.text + " ");
infowindow.setPosition(response.routes[0].overview_path[center_point|0]);
infowindow.open(map);